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Finding the Third Proportional to 189,365 and 407,341

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Solution

The third proportional to 189,365 and 407,341 is: 876,226.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,365 : 407,341 = 407,341 : x
  2. Step 2: Convert to fraction form
    189,365/407,341 = 407,341/x
  3. Step 3: Cross multiply
    189,365x = 407,341 × 407,341
  4. Step 4: Simplify right side
    189,365x = 165,926,690,281
  5. Step 5: Solve for x
    x = 165,926,690,281/189,365
  6. Step 6: Final answer
    x = 876,226.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.